2. 1-1 Rational Numbers

3. Writing a terminating decimal Geogebra Writing a repeating decimal Writing an equivalent fraction Graphing Rational Numbers

4. Understand and apply the definition of rational numbers In this lesson you will learn how to understand and apply the definition of rational numbers. Standards: 8.NS.A.1 1-1 Videos

5. Writing a fraction as a terminating decimal Writing a fraction as a repeating decimal Writing terminating decimals as fractions Video Tutor Help Change a decimal into a fraction Square root word problem Brain Pop Adding and subtracting fractions Rational Numbers Writing an equivalent fractions Rational numbers Khan Academy Rational Numbers Course 3 Converting Fractions to Decimal Numbers Any fraction can be converted into an equivalent decimal number with a sequence of digits after the decimal point, which either repeats or terminates. The reason can be understood by close examination of the number line. Rational Numbers Course 3 Converting Terminating Decimal Numbers to Fractions Decimal numbers with a finite number of digits after the decimal point can be easily converted into fractions. This chapter explains why. Rational Numbers Course 3 Converting Repeating Decimal Numbers to Fractions Decimal numbers with an infinitely repeating sequence of digits after the decimal point can be converted into fractions. This chapter explains why.

6. Understand and apply the definition of irrational numbers In this lesson you will learn how to understand and apply the definition of irrational numbers. Standards: 8.NS.A.1 Distinguish between rational and irrational numbers In this lesson you will learn how to distinguish between rational and irrational numbers. Standards: 8.NS.A.1

7. 1-1 Note Taking Guide 1-1 Practice 1-1 Guided Problem Solving 1-1 Worksheets

8. Chapter 1 Vocabulary (Electronic) Flash Cards Vocabulary Practice Vocabulary Graphic Organizer

9. 1-1 Step-by-Step Examples Additional Lesson Examples

10. Problem of the Day Lesson Quiz Lesson Readiness

15. A rational number is any number that can be written as a fraction, where n and d are integers and d  0. n d Any fraction can be written as a decimal by dividing the numerator by the denominator. If the division ends or terminates, because the remainder is zero, then the decimal is a terminating decimal.

16. Examples of Rational Numbers 16 1/2 3.56 -8 1.3333… - 3/4

17. Rational Numbers A rational number is a real number that can be written as a fraction. A rational number written in decimal form is terminating or repeating.

18. If the division leads to a repeating block of one or more digits (where all digits are not zeros) after the decimal point, then the decimal is a repeating decimal. A repeating decimal can be written with a bar over the digits that repeat. So 0.13333… = 0.13 (bar notation)

19. Writing a terminating decimal

20. Example 1-1a Write as a decimal. Add a decimal point and zeros to the dividend: Division ends when the remainder is 0. 0.1875 Write a Fraction as a Decimal

21. Write in simplest form using the GCF. Equivalent Forms of Rational Numbers LESSON 1-1 138 150 Divide the numerator and the denominator by the GCF. 138 150 138 ÷ 6 150 ÷ 6 = Simplify. The numbers 23 and 25 are relatively prime. = 23 25 The GCF of 138 and 150 is 6. Additional Examples

22. Write in simplest form using prime factorization. Equivalent Forms of Rational Numbers LESSON 1-1 60 126 Divide the common factors. 2 2 3 5 2 3 3 7 11 11 = Simplify. 10 21 = Write the prime factorizations of the numerator and denominator. 60 126 2 2 3 5 2 3 3 7 = Additional Examples

24. Example 1-2a Write as a decimal. means To change to a decimal, divide 2 by 11. The remainder after each step is 2 or 9. 0.1818 The three dots means the one and eight keep repeating. … Write a Mixed Number as a Decimal

25. Write each batting average as a decimal. Equivalent Forms of Rational Numbers LESSON 1-1 a. Joe made 4 hits in 20 times at bat. Joe’s batting average was.200. b. Pat made 6 hits in 33 times at bat. Pat’s batting average was about.182. Write the batting average as a fraction. 4 20 Divide the numerator by the denominator. This is a terminating decimal. 0.2 Write the batting average as a fraction. 6 33 Use a calculator. This is a repeating decimal. 0.18181818 Additional Examples

26. Writing an equivalent fraction

27. Example 1-4a Write 0.32 as a fraction. Answer: The decimal 0.32 can be written as 0.32 is 32 hundredths. Simplify. Divide by the greatest common factor of 32 and 100, 4. Write a Terminating Decimal as a Fraction

28. Write 3.225 as a mixed number. Equivalent Forms of Rational Numbers LESSON 1-1 3.225 =Write as a fraction with the denominator 1. 3.225 1 Since there are 3 digits to the right of the decimal, multiply the numerator and denominator by 10 3 or 1,000. = 3,225 1,000 Simplify using the GCF, 25.= 3,225 ÷ 25 1,000 ÷ 25 = 129 40 Write as a mixed number. = 3 9 40 Additional Examples